What is the answer to 3/(4x^2)=12 ?

The answer to 3/(4x^2)=12 is x= 1/4 ,x=-1/4

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3/(4x^2)=12

\frac{3}{4 x ^{2}} = 12

x = \frac{1}{4}, x = - \frac{1}{4}

Decimal Notation

x = 0.25, x = - 0.25

Solution steps

\frac{3}{4 x ^{2}} = 12

Multiply both sides by

x^{2}

\frac{3}{4} = 12 x^{2}

Solve

\frac{3}{4} = 12 x^{2} : x = \frac{1}{4}, x = - \frac{1}{4}

x = \frac{1}{4}, x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}, x = - \frac{1}{4}

0.4 = \frac{0.2}{\frac{x - 2}{2}}

- \frac{5}{4 x} + \frac{5}{32 x} = 35

2 x - \frac{2 + 3 x}{4} = \frac{2}{x}

1 0^{- 9.89} = \frac{x ^{2}}{0.1 - x}

\frac{9}{7} = \frac{3}{x + 2}